Entanglement island, miracle operators and the firewall

In this paper, we obtain some general results on information retrieval from the black hole interior, based recent progress quantum extremal surface formula and entanglement island. We study an AdS coupled to a bath with generic dynamics, ask whether it is possible retrieve about small perturbation in interior system. derive state reconstruction one norm. However, show that contradiction arises if apply result special situation when dynamics includes unitary operation carries particular measurement region $A$ send another $W$. Physically, between transferability of classical during measurement, non-transferability which determines propose resolution realize does not involving interior-information-retrieving measurements. This implies assumption smooth replica geometry boundary condition set by flat space has break down operator applied bath. Using trick, introduce explicitly construction such operator, name as "miracle operators". From see breaks because have extra wormholes connecting "simulated blackholes" introduced miracle operator. implication operators understanding firewall paradox.